The couple are parents to two sons, Milo, seven, and James, five, and in their statement, the couple confirmed they would continue to co-parent their kids. "We will continue to be united as loving parents to our children and would therefore kindly ask for our family privacy to be respected," they said.
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Speaking about her children as she moved back to the United Kingdom, Cat said: "We had always thought: 'Our boys have grandparents, aunts, uncles, cousins they adore, and they adore them right back'. It's such a special moment in time and you don't get those times back."
She also explained how her children inspire her to feel "seven and three quarters sometimes and try new things", adding that "we're never too old to try new things and sometimes the things that scare us a little bit are good to try too."
The family look as if they had a wonderful time on their summer holiday this year, with Cat sharing photos of both boys getting stuck into their books and also playing together in the pool.
Cat is careful not to show her sons' faces on social media.
So this photo was perfect because it only showed the back of her son's head while the mother-son duo were playing in an inflatable dinghy in the swimming pool.
Last Christmas, Cat took her boys to the hugely popular attraction Lapland UK where they met Santa, wrote their Christmas wish lists and also engaged with the elves.
The whole place, which is located in Winkfield Row in Berkshire, looked totally magical.
Aw, what a sweet snap. Cat shared this photo of one of her sons learning to play tennis with her Instagram followers.
Sunny memories
Here's Cat with her sons ready to hit the beach. "Made it to the sunshine," wrote the star mum back in April 2023.
Surf's up
What a lovely family shot. In July 2022, Cat posted this picture and wrote: "Surfing with theboys in Malibu. Two in… Two out! Watching the fam on @aninebing. I’m pretty sure this is what Lou Reed meant."
Woof woof!
Cat shared the sweetest picture of one of her sons with the family dog, writing: "This little lady has been my partner in crime for the past 12 years #lilly #internationaldogday and loves my boys as much as I do… Just occasionally takes herself off for 'quiet time'."
Cheeky boys
"Boys in a box! Mischief Makers," wrote Cat beside this photo of her children having a blast playing in a hamper basket.
Easter time
"Ready for the hunt! #easteregghunt," said Cat when she shared this adorable photo.
Hug for mum
This really does look like the best hug in the world.
The star mum shared the snap of herself hugging her son, telling fans: "Hold onto your hats! Here comes 2020."
Pants on head
That's right… it's the classic child with their head in their pants photo.